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Finding the Fourth Proportional to 1,308.44, 1,960.89 and 723.56

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Solution

The fourth proportional to 1,308.44, 1,960.89 and 723.56 is: 1,084.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.44 : 1,960.89 = 723.56 : x
  2. Step 2: Convert to fraction form
    1,308.44/1,960.89 = 723.56/x
  3. Step 3: Cross multiply
    1,308.44x = 1,960.89 × 723.56
  4. Step 4: Simplify right side
    1,308.44x = 1,418,821.57
  5. Step 5: Solve for x
    x = 1,418,821.57/1,308.44
  6. Step 6: Final answer
    x = 1,084.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.